Complex variable Tauberians

Agmon, Shmuel

doi:10.1090/S0002-9947-1953-0054079-5

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

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Complex variable Tauberians
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by Shmuel Agmon

Trans. Amer. Math. Soc. 74 (1953), 444-481

DOI: https://doi.org/10.1090/S0002-9947-1953-0054079-5

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References

Shmuel Agmon, Sur les séries de Dirichlet, Ann. Sci. École Norm. Sup. (3) 66 (1949), 263–310 (French). MR 0033352
Shmuel Agmon, Functions of exponential type in an angle and singularities of Taylor series, Trans. Amer. Math. Soc. 70 (1951), 492–508. MR 41222, DOI 10.1090/S0002-9947-1951-0041222-5

An extension of Landau’s theorem in the analytic theory of numbers

E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford, at the Clarendon Press, 1951. MR 0046485